Maths Exam

1. Simplify 1

Simplify the following expression: $$ 2\times5(-3) - \left(5(-1) + 4(-4)\right) $$
Correct Answer
$$ -9$$ or -9.00000

2. Simplify 2

Simplify the following expression: $$ 2\frac{4}{-1}\left(-5(-5) + 5(-5)\right) $$
Correct Answer
$$ 0$$ or 0.0

3. Fractions 1

Simplify the following expression: $$ \frac{3}{5} - \frac{-1}{2} $$
Correct Answer
$$ \frac{11}{10}$$ or 1.1

4. Fractions 2

Simplify the following expression: $$ \frac{-1}{5}\frac{4}{3} $$
Correct Answer
$$ \frac{-4}{15}$$ or -0.26666666666666666

5. Significant figures

1. Write the following to 4 significant figures: 428.46163
Correct Answer
428.5 or $$4.285\times10^{2}$$
2. Write the following to 2 significant figures: 0.000035761837
Correct Answer
0.000036 or $$3.6\times10^{-5}$$

6. Standard Form

1. Write the following in standard form to 2 significant digits: 0.000000430671
Correct Answer
$$4.3\times10^{-7}$$
2. Write the following in standard form to 2 significant digits: 81921.3
Correct Answer
$$8.2\times10^{4}$$

7. Significant figures

1. Write the following in preferred standard form to 5 significant digits: 514.878
Correct Answer
$$514.88\times10^{0}$$
2. Write the following in preferred standard form to 5 significant digits: 1.13089
Correct Answer
$$1.1309\times10^{0}$$

8. Simplify 2

Simplify the following expression: $$ {\left({(-2)}^{3}\right)}^{2} + \left(-6 - 3\right)\left(3 + 2\right) $$
Correct Answer
$$ 19$$ or 19.0000

9. Simplify 1

Simplify the following expression: $$ 2\left(5 - 1\right)\left(3 + 4 - \left(-1 + 3\right)\right) $$
Correct Answer
$$ 40$$ or 40.0000

10. Simplify 2

Simplify the following expression: $$ \frac{3(-1)}{5 + 2} - {\left(-1 - 5\right)}^{2} $$
Correct Answer
$$ \frac{-255}{7}$$ or -36.4286


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